Comparative analysis of transport communication networks and q-type statistics

TL;DR

This paper analyzes transportation networks in Russia, fitting their degree distributions with q-exponential and other functions, and studies how epidemic thresholds vary with network constraints.

Contribution

It introduces a comparative analysis of transport networks using q-type statistics and explores epidemic spreading dynamics in these networks.

Findings

Degree distributions fit q-exponential functions

Railway and highway networks follow skewed normal distributions

Epidemic threshold decreases as degree constraints relax

Abstract

We have obtained the Tsallis distribution from the maximum entropy approach using constraints on the first and the second moment, together with the normalization condition. We have constructed railway and highway communication networks for the Moscow region and the airline network for the Russian Federation. The fitting shows that the degree distributions for these networks are described with the q-exponential function. In case of the railway and highway networks, the nodes degrees distributions are well fitted with the skewed normal distribution, while in case of the airline networks we have used the power law distribution for fitting. The studies of the epidemics spreading processes in these networks show that the epidemics threshold decreases with a decrease of the constraint on the degree.